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Finding the Fourth Proportional to 78,189.74, 107,901.97 and 42,379.64

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Solution

The fourth proportional to 78,189.74, 107,901.97 and 42,379.64 is: 58,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189.74 : 107,901.97 = 42,379.64 : x
  2. Step 2: Convert to fraction form
    78,189.74/107,901.97 = 42,379.64/x
  3. Step 3: Cross multiply
    78,189.74x = 107,901.97 × 42,379.64
  4. Step 4: Simplify right side
    78,189.74x = 4,572,846,104.38
  5. Step 5: Solve for x
    x = 4,572,846,104.38/78,189.74
  6. Step 6: Final answer
    x = 58,483.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.